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OverviewDescribing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources. Full Product DetailsAuthor: Alan F. Beardon (University of Cambridge)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) ISBN: 9780511800436ISBN 10: 0511800436 Publication Date: 05 September 2012 Audience: College/higher education , Tertiary & Higher Education Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsPreface; 1. Groups and permutations; 2. The real numbers; 3. The complex plane; 4. Vectors in three-dimensional space; 5. Spherical geometry; 6. Quaternions and isometries; 7. Vector spaces; 8. Linear equations; 9. Matrices; 10. Eigenvectors; 11. Linear maps of Euclidean space; 12. Groups; 13. Möbius transformations; 14. Group actions; 15. Hyperbolic geometry; Index.Reviews'The presentation is traditional, informal, and relaxed.' Zentralblatt MATH Beardon has written a fine introductory text...[he] outlines a beautiful course. MAA Reviews, Stephen Ahearn Beardon has prepared a book that this reviewer will keep on his shelf as a reference. Highly recommended. Choice 'The presentation is traditional, informal, and relaxed.' Zentralblatt MATH Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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